Let A denotes the class of functions f(z) that are analytic in the unit disk U = {z : |z| < 1} and normalized by f(0) = f (0) âˆ’ 1 = 0. Further, let f, g âˆˆ A. Then we say that f(z) is subordinate toâ€¦ (More)

Let be the class of analytic functions in the unit disk that are normalized with f (0)= f â€²(0)âˆ’ 1 = 0 and let âˆ’1 â‰¤ B < A â‰¤ 1. In this paper we study the class GÎ»,Î± = { f âˆˆ : |(1âˆ’ Î± + Î±z f (z)/ fâ€¦ (More)

Let A denote the class of functions f (z) which are analytic in the open unit disk and normalized by f (0) = f (0) âˆ’ 1 = 0. In this paper the expression f (z)âˆ’1 f (z)/z is studied using differentialâ€¦ (More)

Let f be an analytic function in the open unit disk normalized such that f(0) = f â€²(0) âˆ’ 1 = 0. In this paper the modulus and the real part of the linear combination of f â€²(z) and f(z)/z is studiedâ€¦ (More)

Let A be the class of analytic functions in the unit disk U = {z : |z| < 1} that are normalized with f(0) = f (0) âˆ’ 1 = 0. Also, let S[A,B], âˆ’1 â‰¤ B < A â‰¤ 1, be the class of functions f âˆˆ A, such thatâ€¦ (More)

The criteria that embed a normalized analytic function in the class of functions that are starlike with respect to N-symmetric points are presented. The criteria are based on the quotient ofâ€¦ (More)